We're dividing 433628 by 38 
We want to divide 433628 by 38.

Going ahead to step 1:
When dividing 4 by 38, we get 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Grab the next digit (3) from the dividend, add it to 4, then carry on: 43 / 38

Going ahead to step 2:
If we divide 43 by 38, we get 1 and a remainder of 5.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 38 from 43, we get 5.
Include the next digit (3) from the dividend after 5, then repeat: 53 / 38

On to step 3:
53 divided by 38 is 1 with a remainder of 15.
Use 1 as the next digit of our solution. 
Result so far: 11.0
If we subtract 38 from 53, we get 15.
Bring next digit (6) of the dividend behind the 15 and repeat the process: 156 / 38

Going ahead to step 4:
38 goes into 156 4 times with a remainder of 4.
The next digit of our result is 4. 
Result so far: 114.0
If we take 152 away from 156, we end up with 4.
Append the next digit (2) from the dividend to 4 and continue with: 42 / 38

Advancing to step 5:
When dividing 42 by 38, we get 1 with a remainder of 4.
Write down 1 as next digit of the result. 
Result so far: 1141.0
The remainder is 4 after subtracting 38 from 42.
Take the next digit (8) from the dividend and append it to 4, then repeat: 48 / 38

Let's proceed to step 6:
The number 38 fits into 48 1 times, leaving a remainder of 10.
Write down 1 as next digit of the result. 
Result so far: 11411.0
Subtract 38 from 48 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 7:
The number 38 fits into 100 2 times, leaving a remainder of 24.
Write down 2 as next digit of the result. 
Result so far: 11411.2
Deduct 76 from 100 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 8:
When dividing 240 by 38, we get 6 with a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 11411.26
If we subtract 228 from 240, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 9:
38 can be fit into 120 3 times, resulting in a remainder of 6.
The number 3 becomes the next digit in our result. 
Result so far: 11411.263
Deduct 114 from 120 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 10:
38 goes into 60 1 times with a remainder of 22.
Use 1 as the next digit of our solution. 
Result so far: 11411.2631
Subtracting 38 from 60 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 11:
The number 38 fits into 220 5 times, leaving a remainder of 30.
Record the quotient 5 as the next digit in the result. 
Result so far: 11411.26315
Subtracting 190 from 220 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 12:
38 goes into 300 7 times with a remainder of 34.
The number 7 becomes the next digit in our result. 
Result so far: 11411.263157
If we subtract 266 from 300, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 13:
When dividing 340 by 38, we get 8 with a remainder of 36.
Write down 8 as next digit of the result. 
Result so far: 11411.2631578
Subtracting 304 from 340 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 14:
360 divided by 38 is 9 with a remainder of 18.
Put 9 as the next digit of the answer. 
Result so far: 11411.26315789
If we subtract 342 from 360, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

The quotient of the division is 11411.26315789, and the remainder is 1.8e-08.